Fraction word problems worksheet for students, featuring real-life school scenarios to practice fractions.

Let's solve each of the fraction word problems step by step, using the given information:

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Given:

- Total students = 864
- Total staff members = 80
- $ \frac{5}{8} $ of the students are boys.

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Problem 1: How many girls are there in the school?

Step 1: Find the number of boys.
$ \frac{5}{8} $ of 864 are boys:
$$
\text{Boys} = \frac{5}{8} \times 864 = \frac{5 \times 864}{8} = \frac{4320}{8} = 540
$$

Step 2: Subtract boys from total students to get girls:
$$
\text{Girls} = 864 - 540 = 324
$$

✔ Answer: 324 girls

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Problem 2: $ \frac{1}{6} $ of the boys joined the basketball team and $ \frac{2}{9} $ of the boys joined the soccer team. How many boys are there in the soccer team?

We already found that there are 540 boys.

Now calculate $ \frac{2}{9} $ of 540:
$$
\frac{2}{9} \times 540 = \frac{2 \times 540}{9} = \frac{1080}{9} = 120
$$

✔ Answer: 120 boys are in the soccer team

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Problem 3: The school bus service is only offered to grade 1 and 2 students. $ \frac{5}{24} $ of the total number of students are in grades 1 and 2. $ \frac{4}{7} $ of the grades 1 and 2 take the school bus to school. What fraction of all students take the school bus to school?

We need to find what fraction of all students take the bus.

Let’s break it down:

- Fraction of students in grades 1 and 2 = $ \frac{5}{24} $
- Of those, $ \frac{4}{7} $ take the bus.

So, the fraction of all students who take the bus is:
$$
\frac{5}{24} \times \frac{4}{7} = \frac{20}{168}
$$

Simplify $ \frac{20}{168} $:
Divide numerator and denominator by 4:
$$
\frac{20 \div 4}{168 \div 4} = \frac{5}{42}
$$

✔ Answer: $ \frac{5}{42} $ of all students take the school bus

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Problem 4: On a snowy day, only $ \frac{7}{12} $ of the students attend school. Among the students that missed school, about $ \frac{4}{5} $ call the school to inform the office. What was the fraction of all students that called in to inform the school about missing school this day?

Step 1: Find the fraction of students who missed school:
$$
1 - \frac{7}{12} = \frac{5}{12}
$$

Step 2: Of those who missed, $ \frac{4}{5} $ called in:
$$
\frac{4}{5} \times \frac{5}{12} = \frac{20}{60} = \frac{1}{3}
$$

✔ Answer: $ \frac{1}{3} $ of all students called in to inform the school

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Problem 5: Every Wednesday, a meeting for all the teaching staff is held. If $ \frac{13}{16} $ of the staff members are teaching staff, how many staff members are invited to the meeting?

Total staff = 80
Teaching staff = $ \frac{13}{16} \times 80 $

$$
\frac{13}{16} \times 80 = \frac{13 \times 80}{16} = \frac{1040}{16} = 65
$$

✔ Answer: 65 staff members are invited to the meeting

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Problem 6: On the last Wednesday of May, $ \frac{1}{5} $ of the teaching staff was not in school for a field trip. How many staff members were at that meeting?

From Problem 5, we know teaching staff = 65

$ \frac{1}{5} $ of them were absent:
$$
\frac{1}{5} \times 65 = 13
$$

So, those who attended = $ 65 - 13 = 52 $

✔ Answer: 52 staff members were at the meeting

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✔ Final Answers Summary:

1. 324 girls
2. 120 boys in the soccer team
3. $ \frac{5}{42} $ of all students take the school bus
4. $ \frac{1}{3} $ of all students called in
5. 65 staff members invited
6. 52 staff members attended the meeting

Let me know if you'd like these explained visually or with diagrams!